Impact of mixed boundary conditions on stochastic equations with noise at the boundary
Abstract In this paper, we study evolution equations that are perturbed at the boundary by both noise and an unbounded perturbation. First, using the theory of regular linear systems, we prove the existence of solutions to this equation. Second, we investigate the long-time behavior of the solutions, such as the absolute continuity and the existence of an invariant measure.
Authors
- Saïd Hadd (ORCID: https://orcid.org/0000-0003-0896-3912)
- Mohamed Fkirine (ORCID: https://orcid.org/0000-0002-9218-5158)
- Abdelaziz Rhandi (ORCID: https://orcid.org/0000-0003-3692-1429)
Institutions
- University of Salerno (IT)
- Tampere University of Applied Sciences (FI)
- Université Ibn Zohr (MA)
- Tampere University (FI)
Publication Details
- Journal
- Nonlinear Differential Equations and Applications NoDEA
- Published
- 2025-02-21
- DOI
- https://doi.org/10.1007/s00030-025-01032-y
- Citations
- 1
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.21
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Centre National pour la Recherche Scientifique et Technique
- Università degli Studi di Salerno
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni